Answer:
Second graph
Explanation:
Given inequality,
| x + 7 | - 2 ≥ 0
| x + 7 | ≥ 2
x + 7 ≥ ± 2
x ≥ -7 ± 2
⇒ x ≥ -7 + 2 or x ≥ -7 - 2
⇒ x ≥ -5 or x ≥ -9,
Thus, in the shaded region x ≥ -5 or x ≥ -9,
In the given graphs, the shaded region represents by green,
In the first graph, green line lies in the region -9 ≤ x ≤ -5
Thus, it can not be the graph of the given inequality,
In the second graph, green line lies in the region x ≥ -5 or x ≥ -9
Hence, second graph would be the answer.